481112211184 has 80 divisors (see below), whose sum is σ = 1024114523904. Its totient is φ = 217136448000.

The previous prime is 481112211143. The next prime is 481112211193.

481112211184 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101863447 + ... + 101868169.

Almost surely, 2^481112211184 is an apocalyptic number.

481112211184 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481112211184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512057261952).

481112211184 is an abundant number, since it is smaller than the sum of its proper divisors (543002312720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481112211184 is a wasteful number, since it uses less digits than its factorization.

481112211184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8720 counting only the distinct ones).

The product of its digits is 4096, while the sum is 34.

It can be divided in two parts, 481112 and 211184, that added together give a palindrome (692296).

The spelling of 481112211184 in words is "four hundred eighty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred eighty-four".